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Popular >

simplify \sqrt[3]{2^p}

Solution

simplify

3 2^{p}

Solution

2^{\frac{p}{3}}

Solution steps

3 2^{p}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (2^{p})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 2^{p \frac{1}{3}}

Simplify

p \frac{1}{3} : \frac{p}{3}

= 2^{\frac{p}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{2^p} ?
The solution to \sqrt[3]{2^p} is 2^{p/3}